67491900 has 144 divisors (see below), whose sum is σ = 248039680. Its totient is φ = 15422400.

The previous prime is 67491871. The next prime is 67491901. The reversal of 67491900 is 919476.

It is a super-2 number, since 2×67491900² = 9110313131220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67491901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17115 + ... + 20685.

Almost surely, 2^67491900 is an apocalyptic number.

67491900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67491900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124019840).

67491900 is an abundant number, since it is smaller than the sum of its proper divisors (180547780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67491900 is a wasteful number, since it uses less digits than its factorization.

67491900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 67491900 is about 8215.3453974863. The cubic root of 67491900 is about 407.1463553320.

It can be divided in two parts, 6749 and 1900, that added together give a square (8649 = 93²).

The spelling of 67491900 in words is "sixty-seven million, four hundred ninety-one thousand, nine hundred".